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Let
a. Make a table of the values of h at the points x = 2.9, 2.99, 2.999, and so on. Then estimate . What estimate do you arrive at if you evaluate h at x = 3.1, 3.01, 3.001,….instead?
b. Support your conclusions in part (a) by graphing h near x0 = 3 and using Zoom and Trace to estimate y-values on the graph as x → 3
c. Find algebraically.
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